The Dynkin type of a non-negative unit form.
From MaRDI portal
Publication:1961992
zbMath1073.15531MaRDI QIDQ1961992
Michael Barot, José Antonio de la Peña
Publication date: 1999
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Representations of orders, lattices, algebras over commutative rings (16G30) Quadratic and bilinear forms, inner products (15A63)
Related Items (42)
A Gram classification of non-negative corank-two loop-free edge-bipartite graphs ⋮ The Lie algebra associated to a unit form ⋮ Supercanonical algebras. ⋮ A Gram classification of principal Cox-regular edge-bipartite graphs via inflation algorithm ⋮ Weyl roots and equivalences of integral quadratic forms ⋮ Coxeter Invariants for Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ On algorithmic Coxeter spectral analysis of positive posets ⋮ Unit form recognition by mutations: application of mutations in the search of positive roots ⋮ \(P\)-critical integral quadratic forms and positive unit forms: an algorithmic approach ⋮ On combinatorial algorithms computing mesh root systems and matrix morsifications for the Dynkin diagram \(\mathbb A_n\) ⋮ Weyl orbits of matrix morsifications and a Coxeter spectral classification of positive signed graphs and quasi-Cartan matrices of Dynkin type \(\mathbb{A}_n\) ⋮ Symbolic computation of strong Gram congruences for Cox-regular positive edge-bipartite graphs with loops ⋮ The extended affine Lie algebra associated with a connected non-negative unit form ⋮ On polynomial time inflation algorithm for loop-free non-negative edge-bipartite graphs ⋮ A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ Periodicity in bilinear lattices and the Coxeter formalism ⋮ A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots. ⋮ Graphical characterization of positive definite non symmetric quasi-Cartan matrices ⋮ Classification of discrete derived categories ⋮ Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix ⋮ On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs ⋮ A Coxeter spectral classification of positive edge-bipartite graphs. II: Dynkin type \(\mathbb{D}_n\) ⋮ On Borcherds type Lie algebras ⋮ Structure and a Coxeter-Dynkin type classification of corank two non-negative posets. ⋮ Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs ⋮ Coefficients of non-negative quasi-Cartan matrices, their symmetrizers and Gram matrices ⋮ Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion ⋮ Applications of mesh algorithms and self-dual mesh geometries of root Coxeter orbits to a Horn-Sergeichuk type problem ⋮ Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two ⋮ Integral bilinear forms, Coxeter transformations and Coxeter polynomials of finite posets ⋮ Mesh geometries of root orbits of integral quadratic forms ⋮ On the structure of loop-free non-negative edge-bipartite graphs ⋮ Root systems and inflations of non-negative quasi-Cartan matrices ⋮ Incidence graphs and non-negative integral quadratic forms ⋮ A computational technique in Coxeter spectral study of symmetrizable integer Cartan matrices ⋮ Momenta of Coxeter transformations ⋮ A Coxeter spectral classification of positive edge-bipartite graphs. I: Dynkin types \(\mathcal{B}_n\), \(\mathcal{C}_n\), \(\mathcal{F}_4\), \(\mathcal{G}_2\), \(\mathbb{E}_6\), \(\mathbb{E}_7\), \(\mathbb{E}_8\) ⋮ Coxeter energy of graphs ⋮ A Coxeter type classification of one-peak principal posets ⋮ Root-induced integral quadratic forms ⋮ On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams. ⋮ A Graph Theoretical Framework for the Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸n
This page was built for publication: The Dynkin type of a non-negative unit form.